6, Find the domain of y = 4V4x+2. O x2 -2 x2- 1/2 1/2

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: 2. Find Y if y =x +3x-7 and x 21 +1.

A: Given: y=x2+3x-7x=2t+1

Q: Find y'' in y = x(2x + 1)4

A:

Q: b. Маx z %3DX1 + X2 s.t. 2x1 + x2 < 20 X1 +3x2 < 15 X2 < 4 X1, X2 2 0

A:

Q: 6. Find y" of (1 – 2x)³

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Eliminate the arbitrary constant/s: y = 2C1e^-2x - 4C2e^x + 2C3e^-3x

A:

Q: a. y = x* – 3x² + 2 at a point (1,0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Differentiate the following x2-1 a) y = x2+1

A:

Q: Show that y= 35 x' – 30 x² + 3 satisfies (1– x )y'-2 xy+20 y= 0.

A: we have to show that y=35x4-30x2+3 satisfies 1-x2y''-2xy'+20y=0.

Q: 6. Find the domain of y = Vx+ 4x + 5x + 2 + Jxl-|x+1]

A:

Q: 4-y² 2-y SŠ *-* zdxdzdy

A: Given:  Let I=∫02∫04-y2∫02-y z dx dz dy To Find: To evaluate the given triple integration.

Q: Show that the equation x+y+z=4,2x+5y-2z=3,x+7y-7z=5 are not constant

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Q: O Show that y= 35x' - 30x² +3 satisfies (1- x )y"-2xy'+20 y = 0.

A:

Q: 10. Complete the table on the right assuming that: y-4x+2. 6. 18

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: z = 9 – x² for x 2 0 on the x axis

A:

Q: Find y' and y". In(3x) y = y" %3!

A: Given y=ln3xx6

Q: Eliminate the arbitrary constants y = x2 + ax + be-*

A: We have to eliminate the arbitrary constants y = x2 + ax + be-x

Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

A: In this question,  will form the differential equation by eliminating the arbitrary constants from…

Q: Find the linearization of y = 3xe²x-10 at x = 5. %3D

A:

Q: Maanze; Z こ5x +y Subject to Lラトーメ 5x +3y 575 X20,4? 0

A: Maximize Z=5x+y Subject to, x-y≤75x+3y≤75x≥0, y≥0 The graph is,

Q: Find y 1f y=X in (4x+1)

A:

Q: If 2x² + 3x + xy = 3 and y(3) = — 8, find y' (3) by implicit differentiatio

A:

Q: 6. The domain of y = v1 – x? is

A:

Q: 3. y = v2x' +x /2.

A: We need to find the derivative of 3. y=2x3+x

Q: Find the domain of 1 V2y – 6x -

A: For the given function

Q: What are the points of intercections of Y= x^3+2x^2-x+1

A: The possible way to determine the points of intersection is between two curves.Since in the question…

Q: if X-? yk 2 2 3D5 リ+1 yX Find

A:

Q: 1. Determine the length of y = 1 + 6x3/2 between 0<x<1.

A: Use formula of arc length.

Q: Consider the following. y = x2 - 4x + 2

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Q: 3x y + z = =) = 1.

A:

Q: Find y' if y = 2vx (3x - 2) at x = 4. %3D

A: We need to find y' at x=4

Q: Show that y = 35x – 30x² + 3 satisfies (1-x' )y"-2xy'+20 y= 0 .

A:

Q: 4. Find the point of intersection of: x + 2y = 1 3x- 2y = 11

A: Consider the pair of straight lines x + 2y = 1 3x – 2y = 11

Q: Find y': y = /5+ 2x – x² - 1-x O y = V5+2x-a2 1 O y = 2/5+2x-a2 7-2x O y = 2/5+2x-a²2 O y = /2 – 2x

A:

Q: Find y''' of: y=4cos(x/2)+3x^2

A:

Q: 3. Find y" y = vx² – 4 -

A: Given query is to find the derivative of the expression.

Q: b) Show that Δ2y0 = y2-2y1 + y0.

A: We have to show that Δ2y0 = y2-2y1 + y0.

Q: imize z = 4x + 2y y + 7x 8y + 2x 10 20 ject to y +x 4 ΛΙ ΛΙ ΛΙ ΛΙ ΛΙ నా

A:

Q: (b) Vry = 1+x²y

A:

Q: Find The derivatve of this fanction y= (x-1)(x-4) (2-2)(x-3)

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Q: 2. Find the y" of * y = 3-2x 3x+5

A:

Q: If Y = 2x, then X and Y are not independent?

A: Independent and dependent variables: Two variables are said to be independent if the result of one…

Q: What is y' if xy^3 + yx^3 = x - 3y?

A: Consider  xy3+yx3=x−3y

Q: Find mZX. Y 2 3

A:

Q: Find y' if y= 2x³ – 3x² – x + 5 at x = 2.

A:

Q: 2. Differentiate the following: (a) y = x²z

A: The given expression is: y=x2x   ...1   As we know the Product rule: f·g'=f'·g+f·g' The Power Law:…

Q: Shon in Question 1.a find your mista y= -2x + 1 y3 -2x +3 y 2. -

A:

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

Q: 10. Find y'if y = 3(x³-7x + 2)15 + 4x² – 2

A: